If the combined area of the white and orange regions is 100π, what is the area of ONLY the orange region?

If the combined area of the white and orange regions is 100π, what is the area of ONLY the orange region? class=

Verified Answer :

64π is correct, since the area of the white circle is 36π, and 100π - 36π = 64π.

the area of orange=total-white

given
all=100pi

remember
area=pi times radius^2
white radius is 6
area=pi6^2
area=36pi

areaorange=areatotal-areawhite
areaorange=100pi-36pi
areaorange=64pi square units